Here one considers an Hamiltonian formulation of the lattice theory, letting
the lattice size along the time direction tend to zero, \(a_{t}\rightarrow 0\) , and the one along the space directions \(a_{s}\)  kept fixed. Therefore also \(\beta _{t}\rightarrow 0\)  in the consistent measure. From the previous
analysis [1]} one already knows that for small \(\beta \)  one
obtains the same limit as for the Wilson action. Therefore one may use for
the kinetic term the same term as in Kogut-Susskind Hamiltonian [2]}
and for the potential term the function \(V\)  in (REF )
\(H=c\sum \pi _{ij}^{\alpha }\pi _{ij}^{\alpha }+V \) 
